Ellipse - Basic questions || Auxiliary circle || Eccentric angle || Position OF point

Auxiliary Circle and eccentric angle

What is Auxiliary circle?

Hyperbola- Auxiliary circle || Eccentric angle || Position OF point || Equation OF tangent || Equation OF chord at A(α),B(β)

Illustration Based on Eccentricity and Equation OF Ellipse || Auxiliary Circle || Parametric Equation OF Ellipse

ELLIPSE : Basic OF ellipse || Different form OF ellipse || Eccentric angles and Auxiliary circle || Latus rectum

Position OF Point|| Eccentric Angle and Auxiliary Circle|| Line and Ellipse|| Equation OF Tangent (all 3 forms)|| Equation OF Normal (2 forms)|| Director Circle

Let P be any point on any directrix of an ellipse. Then the chords of contact of point P with respect to the ellipse and its auxiliary circle intersect at (a)some point on the major axis depending upon the position of point Pdot (b)the midpoint of the line segment joining the center to the corresponding focus (c)the corresponding focus (d)none of these

Illustration Based upon Basics OF Ellipse Auxiliary Circle and Parametric Equations

An ellipse is inscribed in its auxiliary circle and a point within the circle is chosen at random. If p is the probability that this point lies outside the ellipse and inside the auxiliary circle. Then 8p is equal to (where eccentricity of the ellipse is sqrt3/2 ) (A) 3 (B) 4 (C) 6 (D) 1

An ellipse is inscribed in its auxiliary circle and a point within the circle is chosen at random. If p is the probability that this point lies outside the ellipse and inside the auxiliary circle. Then 8p is equal to (where eccentricity of the ellipse is sqrt3/2 ) (A) 3 (B) 4 (C) 6 (D) 1